Complete the following: a^2 − 16 = (a +__ )(a - _ )

Question

asked Apr 14, 2020 10.1k views

1 Answer

Stefan Ernst · Answer 1 · 2020-04-20T22:41:55+0000

Answer:

= (a + 4) (a - 4)

Explanation:

The given equation is
a^(2) -16

Now, By ALGEBRAIC IDENTITY:

a^(2) -b^(2) =(a - b) (a + b)

Here, taking
b^(2) = 16 , we get b = 4

as
4^(2) = 16

So, the right hand side of
is (a + 4) (a-4)